


from dataclasses import dataclass, field
from typing import TYPE_CHECKING, Any, ClassVar, Dict, List, Optional, Union

import pyarrow as pa


if TYPE_CHECKING:
   from .features import FeatureType
@dataclass
class 					SCREAMING_SNAKE_CASE__    :
      snake_case__							:	List[str]
      snake_case__							:	Optional[str]	  =		None
      # Automatically constructed
      snake_case__							:	ClassVar[str]	  =		"dict"
      snake_case__							:	ClassVar[Any]	  =		None
      snake_case__							:	str	  =		field(default='''Translation'''		,       init=__lowerCAmelCase		,       repr=__lowerCAmelCase     )
      def __call__(			self							:			List[Any]	)						->     str:
             return pa.struct({lang: pa.string() for lang in sorted(self.languages	)}	)

      def 			SCREAMING_SNAKE_CASE				(			self							:			List[Any]	)						->     Dict:
             from .features import Value

             return {k: Value('string'	) for k in sorted(self.languages	)}
@dataclass
class 					SCREAMING_SNAKE_CASE__    :
      snake_case__							:	Optional[List]	  =		None
      snake_case__							:	Optional[int]	  =		None
      snake_case__							:	Optional[str]	  =		None
      # Automatically constructed
      snake_case__							:	ClassVar[str]	  =		"dict"
      snake_case__							:	ClassVar[Any]	  =		None
      snake_case__							:	str	  =		field(default='''TranslationVariableLanguages'''		,       init=__lowerCAmelCase		,       repr=__lowerCAmelCase     )
      def 			SCREAMING_SNAKE_CASE				(			self							:			Any	)						->     str:
             a_   :						Dict				=    sorted(set(self.languages	)	) if self.languages else None
             a_   :						List[str]				=    len(self.languages	) if self.languages else None
      def __call__(			self							:			Optional[int]	)						->     List[Any]:
             return pa.struct({'language': pa.list_(pa.string()	), 'translation': pa.list_(pa.string()	)}	)
      def 			SCREAMING_SNAKE_CASE				(			self							:			Tuple	,				SCREAMING_SNAKE_CASE__							:			int	)						->     Optional[int]:
             a_   :						Optional[Any]				=    set(self.languages	)
             if self.languages and set(_lowerCamelCase	) - lang_set:
                    raise ValueError(
                        F"""Some languages in example ({", ".join(sorted(set(_lowerCamelCase	) - lang_set	)	)}) are not in valid set ({", ".join(_lowerCamelCase	)})."""	)

             # Convert dictionary into tuples, splitting out cases where there are
             # multiple translations for a single language.
             a_   :						Any				=    []
             for lang, text in translation_dict.items():
                    if isinstance(_lowerCamelCase	,				_lowerCamelCase	):
                           translation_tuples.append((lang, text)	)
                    else:
                           translation_tuples.extend([(lang, el) for el in text]	)

        # Ensure translations are in ascending order by language code.
             a_				,						a_   :						Optional[Any]				=    zip(*sorted(_lowerCamelCase	)	)

             return {"language": languages, "translation": translations}

      def 			SCREAMING_SNAKE_CASE				(			self							:			str	)						->     str:
             from .features import Sequence, Value

             return {
                 "language": Sequence(Value('string'	)	),
                 "translation": Sequence(Value('string'	)	),
             }



"""simple docstring"""


def      lowerCamelCase_					(   __lowerCAmelCase							)				->   "list[int]":




						'''simple docstring'''



						if upper_limit < 0:
												raise ValueError("Limit for the Catalan sequence must be ≥ 0"							)

						lowerCamelCase__   =[0] * (upper_limit + 1)

						# Base case: C(0) = C(1) = 1
						lowerCamelCase__   =1
						if upper_limit > 0:
												lowerCamelCase__   =1

						# Recurrence relation: C(i) = sum(C(j).C(i-j-1)), from j = 0 to i
						for i in range(2  ,       upper_limit + 1							):
												for j in range(__lowerCAmelCase							):
																		catalan_list[i] += catalan_list[j] * catalan_list[i - j - 1]

						return catalan_list


if __name__ == "__main__":
	print('\n********* Catalan Numbers Using Dynamic Programming ************\n')
	print('\n*** Enter -1 at any time to quit ***')
	print('\nEnter the upper limit (≥ 0) for the Catalan number sequence: ', end='')
	try:
		while True:
			a				=int(input().strip())
			if N < 0:
				print('\n********* Goodbye!! ************')
				break
			else:
				print(F'''The Catalan numbers from 0 through {N} are:''')
				print(catalan_numbers(N))
				print('Try another upper limit for the sequence: ', end='')
	except (NameError, ValueError):
		print('\n********* Invalid input, goodbye! ************\n')

	import doctest

	doctest.testmod()


